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Mathematics 14 Online
OpenStudy (anonymous):

hey guys can somebody please help me with a math problem? ?? :))

OpenStudy (anonymous):

"Rewrite the rational exponent as a radical by extending the properties of integer exponents." the problem is attached below along with the rational exponent

terenzreignz (terenzreignz):

\[\Huge \frac{2^{\frac78}}{2^\frac14}\]

terenzreignz (terenzreignz):

Well, it will be better for you if you can express this as just ONE power of two. The laws of exponents still apply, by the way: \[\Large \frac{a^m}{a^n}= a^{m-n}\]

OpenStudy (anonymous):

Okay!

terenzreignz (terenzreignz):

Well, what is it? \[\Huge \frac{2^\frac78}{2^\frac14}= 2^\color{red}{?}\]

OpenStudy (anonymous):

does 5/8 go into the little question mark thingy?

terenzreignz (terenzreignz):

Yes indeed. \[\Huge \frac{2^\frac78}{2^\frac14}= 2^\color{red}{\frac58}\]

terenzreignz (terenzreignz):

Now use this fact: \[\huge a^{\frac mn}=\sqrt[n]{a^m}\] and you'll have your answer ^_^

OpenStudy (anonymous):

is the answer the third one down on that list? :o

terenzreignz (terenzreignz):

No. Take a closer look at that ^

OpenStudy (anonymous):

okay so it's not c or d, um... oh! is it a?

OpenStudy (anonymous):

i'm preeeetty sure it's a, using that forumula

OpenStudy (anonymous):

hello???

OpenStudy (anonymous):

Yep

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